关于非主Hopf曲面的模空间

构造了Ｓ＾１上Ｓ＾３｜Ｈ－丛的所有复结构的模空间，其中丛的转换函数ｕ：ｓ＾３／Ｈ→Ｓ＾３／Ｈ是Ｓ＾３／Ｈ的一个对合，ＨＵ（２），Ｈ为有限群且在Ｓ＾３／Ｈ上的作用是自由的。真不连续的。     

Kuranishi Families and Moduli Spaces for Hopf Surfaces

ＫｕｒａｎｉｓｈｉＦａｍｉｌｉｅｓａｎｄＭｏｄｕｌｉＳｐａｃｅｓｆｏｒＨｏｐｆＳｕｒｆａｃｅｓＬｉＱｉｎｇｚｈｏｎｇ（李庆忠）ＺｈａｎｇＪｉｎｈａｏ（张锦豪）（ＤｅｐａｒｔｍｅｎｔｏｆＭａｔｈｅｍａｔｉｃｓｏｆＦｕｄａｎＵｎｉｖｅｒｓｉｔｙ，Ｓｈａｎ...     

关于Kobayashi微分度量的连续性

由Kobayashi在1967年引入且以他的名字命名的度量已被证明是一类重要的度量。它非常适于研究复流形之间的全纯映射。但是长期以来,对它的光滑性知道甚少。到目前为止,在一般复流形的切丛上,人们只知道它为上半连续的。这限制了它的进一步应用。在这篇短文中,我们将证明在相当广泛的一类复流形的切丛上Kobayashi微分度量的连续性。     

THE EXISTENCE OF μ-HOLOMORPHIC SEPARATING FUNCTION ON BOUNDED SMOOTH DOMAINS

The Complex analysis of strongly pseudoconvex domains in C~n is rather well known. In this paper it is proved that for a bounded smoothly domain Ω there is a new complex structure on it under which Ω will locally become a strongly convex even though the point on bΩ is not a pseudoconvex point from the view of the original complex structure. Particularly if Ω is a weakly pseudoconvex domain, the μ can be made sufficiently close to the original complex structure. Therefore a lot of properties of strongly pseudoconvex domains will become true on weakly pseudoconvex domains, or general domains. For example, it is proved that there is a μ-holomorphic separating function which is holomorphic under the new complex structure.     

C~n中的Zygmund－Calderon不等式

本文利用多复变函数论中一系列的积分表示．对具有紧支集的（０，１）形式建立了Ｃｎ中的Ｚｇｇｍｕｎｄ－Ｃａｌｄｅｒｏｎ不等式．作为这一个不等式的一个直接应用，文［９］得到了Ｃｎ中Ｂｅｌｔｒａｍｉ方程组的整体同胚解．     

一类非主Hopf曲面

本文研究了一类非主Hopf曲面的拓扑和复结构形变的完备族.     

THE EXSISTENCE OF $\mu -HOLOMORPHIC$ SEPARATING FUNCTION ON BOUNDED SMOOTH DOMAINS

The Complex analysis of strongly pseudoconvex domains in C^n is rather well known.In this paper it is proved that for a bounded smoothly domain $\omega$ there is a new complex structure on it under which $\omega$ will locally become a strongly convex even though the point on b&\omega& is not a pseudoconvex point from the view of the original complex structure.Particularly if $\omega$ is a weakly pseudoconvex domain,the $\mu$ cam be ,ade siffocoemt;u c;pse tp tje progoma; cp,[;ex strictire.Therefore a lot of properties of strongly pseudoconvex domains will become true on weakly pseudoconvex domains,or general domains.For example,it is proved that there is a $\mu-holomorphic$ separatin function which is holomorphic under the new complex structure.     

Bergman 穷竭, 完备与稳定性

Bergman核是国内外研究多复变函数论的一个传统课题,本文主要介绍利用超定的非齐次Cuauchy-Riemann方程组的现代Hilbert空间理论研究Bergman核的穷竭性,稳定性与Bergman度量的完备性所取得的最新进展。     

一类非主Hopf曲面

本文研究了一类非主Ｈｏｐｆ曲面的拓扑和复结构形变的完备族．